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Finding the Fourth Proportional to 59.23, 88.49 and 49.01

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Solution

The fourth proportional to 59.23, 88.49 and 49.01 is: 73.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.23 : 88.49 = 49.01 : x
  2. Step 2: Convert to fraction form
    59.23/88.49 = 49.01/x
  3. Step 3: Cross multiply
    59.23x = 88.49 × 49.01
  4. Step 4: Simplify right side
    59.23x = 4,336.57
  5. Step 5: Solve for x
    x = 4,336.57/59.23
  6. Step 6: Final answer
    x = 73.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.